USING THE BARYCENTRIC COORDINATE TECHNIQUE TO DETERMINE OPTIMAL SENSOR LOCATIONS
First Claim
1. A method for determining sensor locations for a component to be monitored, comprising:
- after sensors are placed at three or more non-collinear locations on a surface of the component, receiving time-series signals from the sensors while the component operates on a representative workload;
defining one or more triangles on the surface of the component, wherein each triangle is defined by three vertices, which coincide with three different sensor locations on the surface of the component;
for each triangle, applying a barycentric coordinate technique (BCT) to time-series signals received from sensors located at the vertices of the triangle to determine a candidate location within the triangle to place an additional sensor;
comparing the candidate locations for each of the one or more triangles to determine a globally optimal location for the additional sensor; and
indicating that the additional sensor needs to be placed at the globally optimal location.
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Abstract
After sensors are placed at three or more non-collinear locations on a surface of the component, the system receives time-series signals from the sensors while the component operates on a representative workload. The system then defines one or more triangles on the surface of the component, wherein each triangle is defined by three vertices, which coincide with different sensor locations on the surface of the component. For each triangle, the system applies a barycentric coordinate technique (BCT) to time-series signals received from sensors located at the vertices of the triangle to determine a candidate location within the triangle to place an additional sensor. The system then compares the candidate locations for each of the one or more triangles to determine a globally optimal location for the additional sensor, and a new sensor is placed at this location. This process is repeated until a desired number of sensors are placed.
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Citations
20 Claims
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1. A method for determining sensor locations for a component to be monitored, comprising:
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after sensors are placed at three or more non-collinear locations on a surface of the component, receiving time-series signals from the sensors while the component operates on a representative workload; defining one or more triangles on the surface of the component, wherein each triangle is defined by three vertices, which coincide with three different sensor locations on the surface of the component; for each triangle, applying a barycentric coordinate technique (BCT) to time-series signals received from sensors located at the vertices of the triangle to determine a candidate location within the triangle to place an additional sensor; comparing the candidate locations for each of the one or more triangles to determine a globally optimal location for the additional sensor; and indicating that the additional sensor needs to be placed at the globally optimal location. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
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12. A non-transitory computer-readable storage medium storing instructions that when executed by a computer cause the computer to perform a method for determining sensor locations for a component to be monitored, the method comprising:
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after sensors are placed at three or more non-collinear locations on a surface of the component, receiving time-series signals from the sensors while the component operates on a representative workload; defining one or more triangles on the surface of the component, wherein each triangle is defined by three vertices, which coincide with three different sensor locations on the surface of the component; for each triangle, applying a barycentric coordinate technique (BCT) to time-series signals received from sensors located at the vertices of the triangle to determine a candidate location within the triangle to place an additional sensor; comparing the candidate locations for each of the one or more triangles to determine a globally optimal location for the additional sensor; and indicating that the additional sensor needs to be placed at the globally optimal location. - View Dependent Claims (13, 14, 15, 16, 17, 18, 19)
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20. A method for determining sensor locations for a component to be monitored, comprising:
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after sensors are placed at four or more non-collinear locations in a volume within the component, receiving time-series signals from the sensors while the component operates on a representative workload; defining one or more tetrahedra within the volume of the component, wherein each tetrahedron is defined by four vertices, which coincide with different sensor locations within the volume of the component; for each tetrahedron, applying a three-dimensional barycentric coordinate technique (BCT) to time-series signals received from sensors located at the vertices of the tetrahedron to determine a candidate location within the tetrahedron to place an additional sensor; comparing the candidate locations for each of the one or more tetrahedra to determine a globally optimal location for the additional sensor; and indicating that the additional sensor needs to be placed at the globally optimal location.
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Specification